In this paper we prove an analogue of the Komlos–Major–Tusnady (KMT) embedding theorem for random walk bridges. The bridges consider are constructed through walks with i.i.d jumps that conditioned on locations their endpoints. We such can be strongly coupled to Brownian appropriate variance when either continuous or integer valued under some mild technical assumptions jump distributions. Our ar...

in this paper, we prove some coupled coincidence point theorems for mappings with the mixedmonotone property and obtain the uniqueness of this coincidence point. then we providing useful examples in nash equilibrium.

the $k$-th semi total point graph $r^k(g)$ of a graph $g$, is a graph obtained from $g$ by adding $k$ vertices corresponding to each edge and connecting them to endpoint of edge considered. in this paper, we obtain formulae for the resistance distance and kirchhoff index of $r^k(g)$.

Composite endpoints, consisting of the union of two or more outcomes, are often used as the primary endpoint in time-to-event randomized clinical trials. Previously, Gómez and Lagakos provided a method to guide the decision between using a composite endpoint instead of one of its components when testing the effect of a treatment in a randomized clinical trial. Consider the problem of testing th...